GCF of 6606/875, 8454/5425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6606/875, 8454/5425 i.e 6/27125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6606/875, 8454/5425.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6606/875,8454/5425?
Given fractions are 6606/875,8454/5425
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6606/875,8454/5425, numerators are 6606,8454
Denominators are 875,5425
The GCF of 6606,8454 is 6 .
LCM of 875,5425 is 27125.
The greatest common factor of 6606/875,8454/5425 = [GCF of 6606,8454]/[LCM of 875,5425]= 6/27125
Therefore, the GCF of 6606/875,8454/5425 is 6/27125.
To find the highest common factor of 6606,8454, we have to find the factors of both numbers and list the highest common factor.
The factors of 6606 are 1, 2, 3, 6, 9, 18, 367, 734, 1101, 2202, 3303, 6606
The factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454
The HCF of 6606,8454 is 6.
Lets's calculate GCF of 6606,8454
| 2 | 6606, 8454 |
| 3 | 3303, 4227 |
| 1101, 1409 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6606,8454 By Matching Biggest Common Factor Method
Now, list down the factors of 6606
:1,2,3,6,9,18,367,734,1101,2202,3303,6606
Now, list down the factors of 8454
:1,2,3,6,1409,2818,4227,8454
Greatest Common Factor
We found the factors 6606,8454 . The biggest common factor number is the GCF number.
So the greatest common factor 6606,8454 is 6.
Lets's calculate LCM of 875,5425
| 5 | 875, 5425 |
| 5 | 175, 1085 |
| 7 | 35, 217 |
| 5, 31 |
∴ So the LCM of the given numbers is 5 x 5 x 7 x 5 x 31 = 27125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/27125
Therefore, the GCF of Fractions 6606/875,8454/5425 is 6/27125
Least Common Multiple of 875,5425 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 875,5425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,5425) = 175
common factors(in case of two or more numbers have common factors) = 1
GCF(875,5425) x common factors =175 x 1 = 175
LCM(875,5425) = ( 875 × 5425 ) / 175
LCM(875,5425) = 4746875 / 175
LCM(875,5425) = 27125
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FAQs on GCF of Fractions of 6606/875, 8454/5425
1. What is the HCF of 6606,8454?
The HCF of 6606,8454 is 6
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6606/875, 8454/5425?
Answer: GCF of Numerators as per given numbers 6606/875, 8454/5425 is
GCF of Numerators i.e. for 6606,8454 is 6
LCM of denominators i.e. for 875,5425 is 27125.
Thus, GCF of Fractions is 6/27125.Finally, GCF of Fractions for 6606/875, 8454/5425 is 6/27125.